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Finding the Fourth Proportional to 208.71, 313.00 and 76.93

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Solution

The fourth proportional to 208.71, 313.00 and 76.93 is: 115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.71 : 313.00 = 76.93 : x
  2. Step 2: Convert to fraction form
    208.71/313.00 = 76.93/x
  3. Step 3: Cross multiply
    208.71x = 313.00 × 76.93
  4. Step 4: Simplify right side
    208.71x = 24,078.12
  5. Step 5: Solve for x
    x = 24,078.12/208.71
  6. Step 6: Final answer
    x = 115.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.